818122927104 has 1056 divisors, whose sum is σ = 2964548590080. Its totient is φ = 218242252800.

The previous prime is 818122927103. The next prime is 818122927109. The reversal of 818122927104 is 401729221818.

818122927104 is a `hidden beast` number, since 81 + 81 + 229 + 271 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 818122927104.

It is not an unprimeable number, because it can be changed into a prime (818122927103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6245213119 + ... + 6245213249.

It is an arithmetic number, because the mean of its divisors is an integer number (2807337680).

Almost surely, 2^818122927104 is an apocalyptic number.

818122927104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 818122927104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1482274295040).

818122927104 is an abundant number, since it is smaller than the sum of its proper divisors (2146425662976).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

818122927104 is a wasteful number, since it uses less digits than its factorization.

818122927104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 818122927104 in words is "eight hundred eighteen billion, one hundred twenty-two million, nine hundred twenty-seven thousand, one hundred four".